Given the sample −4, −10, −16, 8, −12, add one more sample value that will make the mean equal to 3.

Answers

Answer 1

Answer: The value to add to the set is 52

=======================================================

For a moment, ignore the extra value we'll add in later.

The given set of values add to -34.

Let x be the extra value we add in. It adds to the -34 to get -34+x, then we divide by 6 because the set {-4,-10,-16,8,-12,x} has 6 items.

So we get the mean (-34+x)/6

Set this equal to the mean we want (3) and solve for x

(-34+x)/6 = 3

-34+x = 6*3

-34+x = 18

x = 18+34

x = 52

The set {-4,-10,-16,8,-12,x} updates to {-4,-10,-16,8,-12,52} and this set has a mean of 3.


Related Questions

find the absolute maximum and the absolute minimum of the given function on the given interval f(x)=xe^x/2 on [-3,1]

Answers

Answer:

View the graph for a visual

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]f(x)=xe^{\frac{x}{2} } \\f'(x)=x*\frac{1}{2} e^{\frac{x}{2} } +e^{\frac{x}{2} } =e^{\frac{x}{2} } (\frac{x}{2} +1)\\[/tex]

f'(x)=0, gives x=-2

we find f(x) at x=-3,-2,1

f(-3)=-3e^(-3/2)≈-0.67

f(-2)=-2e^(-2/2)=-2e^{-1}=-2/e≈-0.74

f(1)=1 e^(1/2)=√e≈1.65

What is the slope of the line?

Answers

-3

Step-by-step explanation:

it is -3 because the line touches -3 on the y-intercept

A researcher wants to survey 2000 Americans for an obesity study. Match the strategies to their corresponding sampling techniques
The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.
The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.
The researcher gets the complete list from the Census Bureau and uses a computer to randomly selc 2000 people.
The researeher makes sure that the proportion of respondents from each state matches the propontion of each state's population to the US population
The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people.
Then the researcher makes sure that everyone from each group answers the survey question.
a. Stratified Sampling
b. Systematic Sampling
c. Simple Random Sampling
d. Cluster Sampling
e. Convenience Sampling
Hint: Sampling Methods License Points possible: 1 This is attempt 1 of 1.

Answers

Answer:

a. The researcher makes sure that the proportion of respondents from each state matches the proportion of each state's population to the US population.

b. The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.

c. The researcher gets the complete list from the Census Bureau and uses a computer to randomly select 2000 people.

d. The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people. Then the researcher makes sure that everyone from each group answers the survey question.

e. The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.  

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.  

First 2000, so convenience.

The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.

Every kth element, k = 1500, so systematic.

The researcher gets the complete list from the Census Bureau and uses a computer to randomly select 2000 people.

Randomly selects 2000 people, so random sampling.

The researcher makes sure that the proportion of respondents from each state matches the proportion of each state's population to the US population.

Divides the population into groups(by state), and a few members of each group are surveyed, so stratified.

The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people. Then the researcher makes sure that everyone from each group answers the survey question.

Each element of the cluster is surveyed, so cluster sampling.

1 What is the solution to the inequality
12x < 264?
A x > 22
B x < 22
C x < 252
D x > 252

Answers

Answer:

x < 22

Step-by-step explanation:

12x < 264

Divide each side by 12

12x/12 < 264/12

x < 22

Given that,

12x < 264

Not we can divide each side by 12,

→ 12x/12 < 264/12

→ x < 22

So, option (B) is correct answer.

what is x+54 +3x+28+90 I really need help​

Answers

Answer:

4x+172

Step-by-step explanation:

x+54 +3x+28+90

Combine like terms

x+3x  + 54+28+90

4x   + 172

Answer:

[tex] \large \sf \fbox{4x - 172}[/tex]

Step-by-step explanation:

➛ x + 54 + 3 x + 28 + 90

combine like terms

➛ x + 3 x + 54 + 28 + 90

➛ 4 x + 172

please, this is the last time I'm asking, just help me with the Volume.​

Answers

Answer: 4374

Step-by-step explanation:

Avery invested $3,800 in an account paying an interest rate of 5\tfrac{1}{2}5
2
1

% compounded monthly. Serenity invested $3,800 in an account paying an interest rate of 6\tfrac{1}{8}6
8
1

% compounded continuously. After 17 years, how much more money would Serenity have in her account than Avery, to the nearest dollar?

Answers

After 17 years, Serenity has $778 more than Avery

The formula for calculating the compound amount is expressed according to the formula;

[tex]A=P(1+\frac{r}{n} )^{nt}\\[/tex]

For Avery;

P = $3,800

rate = 5 1/2 % = 0.055

time = 17 years

n = 12 (monthly compounding)

Substitute into the formula to have:

[tex]A=3800(1+\frac{0.055}{12} )^{12(17)}\\A=3800(1+0.00458)^{204}\\A=3800(1.00458)^{204}\\A=3800(2.5401)\\A = \$9,652.22[/tex]

Hence the amount that will be in Avery's account after 17years is $9,652

For Serenity;

P = $3,800

rate = 6 1/8 % = 0.06125

time = 17 years

n = 1 (continuous compounding)

Substitute into the formula to have:

[tex]A=3800(1+\frac{0.06125}{1} )^{1(17)}\\A=3800(1+0.06125)^{17}\\A=3800(1.06125)^{17}\\A=3800(2.7473)\\A = \$10,439.62[/tex]

Hence the amount that will be in Serenity's account after 17years is $10,430.

Amount Serenity have more than Avery = $10,430 - $9652 = $778

Learn more on compound amount here: https://brainly.com/question/18442810

pls help me with this q ​

Answers

the answer is A because there is a constant pattern

some banks charge a fee on savings account that are left inactive for an extended period of time. the equation y=5000(0.98)^x represents the value, u of one account that was left inactive for a period of x years. what is the y-intercept of this equation, and what does it represent?

a. 0.98 the percent of money in the account initially?

b. 0.98, the percent of money in the account after x years

c. 5000, the account of money in the account initially

d. 5000, the amount of money in the account after x years

Answers

Answer:

it gotta be d cause i went with my instinct.

Step-by-step explanation:

solve write it out.

Free Branliest Quick and Correct!

Answers

If it self explanatory... just divide the sum of total price by the Size of the item that’s all.. and they are saying the unit should be the same.. and the units too are given so.. you will convert.. then bear in mind that .99 is the same as 0.99 they use it to confused others.. so sum the total price and divide by the Size but let the units be the same... the conversion is given under it

1x1=
9x6 =
18×6=
54×6=
10x2=​

Answers

1
54
108
324
20
This is the answers

Answer:

1x1=1

9x6 =54

18×6=108

54×6=324

10x2=​20

Step-by-step explanation:

Find the distance between the two points in simplest radical form HELP​

Answers

Given:

The two points on the graph.

To find:

The distance between the two points in simplest radical form.

Solution:

From the given graph, it is clear that the two points on the graph are (-9,3) and (-3,-2).

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:

[tex]d=\sqrt{(-3-(-9))^2+(-2-3)^2}[/tex]

[tex]d=\sqrt{(-3+9)^2+(-5)^2}[/tex]

[tex]d=\sqrt{(6)^2+(-5)^2}[/tex]

On further simplification, we get

[tex]d=\sqrt{36+25}[/tex]

[tex]d=\sqrt{61}[/tex]

Therefore, the distance between the given points is [tex]\sqrt{61}[/tex] units.

Help pleaseeee!!!!!!!!! I’ll mark brainliest!!!!!

Answers

Answer:

i believe it is D side angle side

Step-by-step explanation:

Is kissing and making out the same thing or are they 2 different things?

Answers

Answer:

different

Step-by-step explanation: very different

Kissing is normal mostly lip locking . Making out is using tongue, and they fight with each other tongues and explore your mouth.

How many solutions exist for the given equation?
1/2(x + 12) = 4x -1

zero
one
two
infinitely many

Answers

Answer:

one

[tex] \frac{1}{2} (x + 12) = 4x - 1 \\ x + 12 = 8x - 2 \\ 7x = 14 \\ x = 2[/tex]

Pls help 12 points pls

Answers

Answer:

3/4

Step-by-step explanation:

Hi there!

There are 6 sections that are odd-numbered and there are 8 sections in total. Therefore, the probability that the pointer will land on an odd-numbered section is 6/8, or 3/4 when simplified.

I hope this helps!

3/4 is your answer, hope this helps :)

ind the median for the set of numbers 5,5,7,9,11,12,18,18​

Answers

Answer:

10

Step-by-step explanation:

Answer: The median is 10

Step-by-step explanation:

Identify a transformation of the function f(x)=|x| by observing the equation of the function g(x)=|x|+4.

Answers

Answer:

its 9 plus 9 and equals 19.0

SOMEONE HELP ME PLEASE

Answers

Answer:

x should be 9.

Step-by-step explanation:

y was multiplied by 3 (7 x 3 = 21), so multiply the value of x by 3 as well to get 9.

35 is 40% of what
number?

Answers

Answer:

35 is 40% of 87.5

Step-by-step explanation:

[tex]\frac{40}{100}=\frac{35}{x}[/tex]

Cross multiply

[tex]40x=3500[/tex]

Divide both sides by 40

[tex]x=87.5[/tex]

Hope this helps


The slope of the line below is -3. Which of the following is the point-slope
form of the line?
-5
5
• (2,-2)

Answers

Given:

The slope of the line is -3.

The line passes through the point (2,-2).

To find:

The point-slope form of the line.

Solution:

Point slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the point-slope form of the line is:

[tex]y-y_1=m(x-x_1)[/tex]

The slope of the line is -3 and it passes through the point (2,-2). So, the point-slope form of the line is:

[tex]y-(-2)=-3(x-2)[/tex]

[tex]y+2=-3(x-2)[/tex]

Therefore, the required point slope form of the given line is [tex]y+2=-3(x-2)[/tex].

The dot plot below shows 6 data points with a mean of 16. 12 13 14 15 16 20 What is the absolute deviation at 19? 03 04 7 8​

Answers

Answer:

The absolute deviation at 19 is 3.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

|19-16|=3

subtract mean from expected value

Determine whether the sequence converges or diverges. If it converges, give the limit. 1/462, 1/42, 11/42, 121/42

Answers

Answer:

Diverges

Step-by-step explanation:

It will diverge due to my calculations

What is the true meaning of absolute value?

Answers

Answer:

Change the value from negative to positive

Or

Change the value from positive to positive

Step-by-step explanation:

It is very simple

Any number's absolute value should be positive

Let's say absolute value of 3 - >answer is 3

But absolute value of - 3 - > is also 3

Hope you understood it.

Answer:

In math students think that the function just removes negative signs, and actually that is basically what happens...

BUT !!! the definition that you want is that absolute value is a measure of how far (distance) you are from ZERO.... and note that distances are not negative...

If you run out of gas one mile in front of behind a gas station, you have to travel "one mile" you don't walk "negative one mile"...

forward one mile or backward one mile are both "one mile" just in different directions

Step-by-step explanation:

will mark as brainliest!
y=acos(b(x-c))+d

give an explanation for how each letter a, b, c and d are shown in the graph compared to y=cosx

Answers

a shows the amplitude of the graph
b shows the period of the graph
c shows the phase of the graph whether it will be moved to the left or right in this case it’s being shifted to the left
d shows that the graph will be shifted either up or down in this case it will be shifted d units up.

please helpppp!!! it’s timed!!!! thank u for helping!!!!!

Answers

Answer:

ADMC

Step-by-step explanation:

The secant of a circle is a line that cuts the cuts two points of the circumference with one end point external to the circle;

Fro the given diagram, the two lines that cuts the circumference of the circle at two points are AEB and ADMC

Hence the one that contains diameter with point M is line ADMC

What is the total surface area of a rectangular prism box that measures 5 feet by 1 foot by 1 foot

Answers

Answer:

22 ft²

Step-by-step explanation:

SA = 2(5 x 1) + 2 ( 5 x 1 ) + 2 (1x1)

SA = 20 + 2 = 22

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

REFERENCE: LESSON 8 TO 12.
1.
Simplify the ratios 52 : 39
(1 mark)
Answer:
2.
Simplify 4/16:23
(1 mark)
Answer:
(1 mark)
3.
Express the ratio 8 : 56 in the form 1:n
Answer:
(1 mark)
4.
Solve for the unknown in the given proportion.
Answer:
(1 mark)
5.
Express the ratio 40 cm: 5 m in the form m:n.
Answer:​

Answers

Answer:

Step-by-step explanation:

1. 52:39

Divide both sides by 13:

= 4:3.

2.  4/16 : 23

= 1/4 : 23

= 1 :92.

3. 8:56

= 1:7.

4. ?

5. 40 cm 5 m

= 40 : 500

= 4:50

= 2:25.

will mark as brainliest:

give the equation of the given graph

Answers

Answer:

Step-by-step explanation:

y = A sin(B(x + C)) + D

amplitude is A = (5 - -1)/2 = 3

period is 2π/B = 4 ==> B = .5π

phase shift is C (positive is to the left) = 0

vertical shift is D = 2

-------------------------

y = 3sin(.5πx) + 2

Answer:

Step-by-step explanation:

In the image you can see the amplitude is 6/2=3

also you can see that the curve is shifted upwards 2 units

regarding to the frequency of the function, we can notice the it has a period of 4

[tex]w=\frac{2\pi}{\Gamma}=\frac{2\pi}{4}=\frac{\pi}{2}[/tex]

finally, the equation will be:

[tex]f(x)=2+3sin(\frac{\pi}{2}x)[/tex]

See the full equation on the attached image

Will mark Brainlest help me to multiply it​

Answers

Answer: sin0=30°

sin0=(5/10)
sin^-1(5/10)
sin0=30°

Explanation: In order to put this into your calculator, you must hit 2nd + sin. Then you can solve for sin0.
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